315000 has 120 divisors (see below), whose sum is σ = 1218360. Its totient is φ = 72000.

The previous prime is 314989. The next prime is 315011. The reversal of 315000 is 513.

It is an interprime number because it is at equal distance from previous prime (314989) and next prime (315011).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

315000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44997 + ... + 45003.

It is an arithmetic number, because the mean of its divisors is an integer number (10153).

2³¹⁵⁰⁰⁰ is an apocalyptic number.

315000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609180).

315000 is an abundant number, since it is smaller than the sum of its proper divisors (903360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315000 is a wasteful number, since it uses less digits than its factorization.

315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 315000 is about 561.2486080161. The cubic root of 315000 is about 68.0409211595.

Adding to 315000 its reverse (513), we get a palindrome (315513).

The spelling of 315000 in words is "three hundred fifteen thousand".